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Super Fibonacci Graceful Labeling of Some Special Class of Graphs [PDF]

open access: yes, 2011
A Fibonacci graceful labeling and a super Fibonacci graceful labeling on graphs were introduced by Kathiresan and Amutha in ...
Sridevi, R.   +2 more
core   +1 more source

BEBERAPA ALGORITMA PELABELAN GRACEFUL UNTUK GRAF CATERPILLAR [PDF]

open access: yes, 2023
Graceful labeling, first introduced by Rosa as β-labeling. A graceful labeling (or β-labeling) on a graph G involves assigning labels to its set of vertices, forming an injective function f that maps each vertex to the set of non-negative integers {0 ...
Runtu, Patricia V. J   +2 more
core   +1 more source

Tight super-edge-graceful labelings of trees and their applications

open access: yesAKCE International Journal of Graphs and Combinatorics, 2015
The concept of graceful labeling of graphs has been extensively studied. In 1994, Mitchem and Simoson introduced a stronger concept called super-edge-graceful labeling for some classes of graphs.
Alex Collins, Colton Magnant, Hua Wang
doaj   +1 more source

Graceful Labeling of Hypertrees

open access: yesJournal of Mathematics Research, 2021
Graph labeling is considered as one of the most interesting areas in graph theory. A labeling for a simple graph G (numbering or valuation), is an association of non -negative integers to vertices of G  (vertex labeling) or to edges of G  (edge labeling) or both of them.
H. El-Zohny   +3 more
openaire   +2 more sources

Super Fibonacci Graceful Labeling [PDF]

open access: yes, 2011
Approaching topics such as Smarandache-Fibonacci triple, graceful labeling, Fibonacci graceful labeling, super Smarandache-Fibonacci graceful graph, super Fibonacci graceful ...
Sridevi, R.   +2 more
core   +1 more source

Dividing Graceful Labeling of Certain Tree Graphs

open access: yesTikrit Journal of Pure Science, 2020
A tree is a connected acyclic graph on n vertices and m edges. graceful  labeling of a tree  defined as a simple undirected graph G(V,E) with order n and size m,  if there exist an injective mapping  that induces a bijective mapping  defined by   for ...
Abdullah Zahraa O   +2 more
doaj   +1 more source

Relaxed Graceful Labellings of Trees [PDF]

open access: yesThe Electronic Journal of Combinatorics, 2002
A graph $G$ on $m$ edges is considered graceful if there is a labelling $f$ of the vertices of $G$ with distinct integers in the set $\{0,1,\dots,m\}$ such that the induced edge labelling $g$ defined by $g(uv)=|f(u)-f(v)|$ is a bijection to $\{1,\dots,m\}$. We here consider some relaxations of these conditions as applied to tree labellings: 1.
openaire   +3 more sources

M modulo N Graceful Labeling on Arbitrary Super Subdivision of Ladder Graph: M modulo N Graceful Labeling ASSLG

open access: yes, 2023
In this paper, we show that arbitrary super subdivisions of ladder graphs and super subdivisions of ladder graphs are M modulo N graceful Labeling.
Velmurugan, C., V, Ramachandran
core   +1 more source

A survey and a new class of graceful unicylic graphs

open access: yesAKCE International Journal of Graphs and Combinatorics, 2020
A graph G admits a graceful labeling if there is a one-to-one map f from the set of vertices of G to such that when an edge xy is assigned the label the resulting set of edge labels is When such a labeling exists, G is called graceful. Rosa showed that a
Max Pambe Biatch’   +2 more
doaj   +1 more source

Radio Number of Hamming Graphs of Diameter 3

open access: yesTheory and Applications of Graphs, 2022
For $G$ a simple, connected graph, a vertex labeling $f:V(G)\to \Z_+$ is called a \emph{radio labeling of $G$} if it satisfies $|f(u)-f(v)|\geq\diam(G)+1-d(u,v)$ for all distinct vertices $u,v\in V(G)$.
Jason DeVito   +2 more
doaj   +1 more source

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